Intersection lattices and topological structures of complements of arrangements in
Intersection preserving finite embedding theorems fo partial quasigroups.
Intersection Triangles and Block Intersection Numbers of Steiner Systems.
Intersections in Projective Space I: Combinatorics.
Inversion of incidence mappings.
Inversions in Locally Affine Circular Spaces.
Invertibility criterion of composition of two multiary quasigroups
We study invertibility of operations that are composition of two operations of arbitrary arities. We find the criterion for quasigroups and specifications for -quasigroups. For this purpose we introduce notions of perpendicularity of operations and hypercubes. They differ from the previously introduced notions of orthogonality of operations and hypercubes [Belyavskaya G., Mullen G.L.: Orthogonal hypercubes and -ary operations, Quasigroups Related Systems 13 (2005), no. 1, 73–86]. We establish...
i-perfect m-cycle systems, m...19.
Irreduzible Polynome als kombinatorische Figuren.
Isohedral tilings of the plane by polygons.
Isols and balanced block designs with
Isonemality and mononemality of woven fabrics
The paper studies the diagrams of woven fabrics consisting of white and black squares as geometrical objects and described their symmetries. The concepts of isonemality and mononemality due to B. Grünbaum and G. C. Shephard are used. A conjecture of these authors is proved in a particular case.
Iterations of concave maps, the Perron-Frobenius theory, and applications to circle packings.
Kasteleyn cokernels.
Kikkawa loops and homogeneous loops
In H. Kiechle's publication ``Theory of K-loops'' [3], the name Kikkawa loops is given to symmetric loops introduced by the author in 1973. This concept started from an analogical imagination of sum of vectors in Euclidean space brought up on a sphere. In 1975, this concept was extended by him to the more general concept of homogeneous loops, and it led us to a non-associative generalization of the theory of Lie groups. In this article, the backstage of finding these concepts will be disclosed from...
Klassisches und Modernes über Steiner Tripelsysteme.
Kombinatorické konstrukce, jejich složitost a praktický význam
La structure de certains problèmes d'affectation
Landau's and Rado's theorems and partial tournaments.
Latent roots and off-diagonal elements of the association matrix in PBIB designs and the number of associate classes